TY - JOUR
T1 - The Haar measure of a profinite n-ary group
AU - Shahryari, M.
AU - Rostami, M.
N1 - Publisher Copyright:
© 2025 World Scientific Publishing Company.
PY - 2024/3/22
Y1 - 2024/3/22
N2 - We prove that every profinite n-ary group (G,f) = der,b(G,•) has a unique Haar measure mp and further for every measurable subset A ⊆ G, we have mp(A) = m(A) = (n - 1)m - (A), where m and m - are the normalized Haar measures of the profinite groups (G,•) and the Post cover G - , respectively.
AB - We prove that every profinite n-ary group (G,f) = der,b(G,•) has a unique Haar measure mp and further for every measurable subset A ⊆ G, we have mp(A) = m(A) = (n - 1)m - (A), where m and m - are the normalized Haar measures of the profinite groups (G,•) and the Post cover G - , respectively.
KW - Haar measure
KW - n -ary groups
KW - Polyadic groups
KW - profinite groups and polyadic groups
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UR - https://www.mendeley.com/catalogue/a8e42fd0-31bc-3670-a6ad-2e5135bd8fe4/
U2 - 10.1142/s0219498825502196
DO - 10.1142/s0219498825502196
M3 - Article
AN - SCOPUS:85188795473
SN - 0219-4988
JO - Journal of Algebra and Its Applications
JF - Journal of Algebra and Its Applications
M1 - 2550219
ER -